Recently the study of various physical systems under rotation has become
relevant and extremely interesting research area. Rotating physical systems frequently appear in astrophysics [1]}, [2]}. Relativistic fermions with angular momentum can be
realized in condensed matter physics [3]}, [4]}. It is believed that rapidly rotating quark-gluon plasma is created in heavy-ion collision experiments [5]}, [6]}, [7]}, [8]}. In the last example non-central heavy ion collisions generate nonzero angular momentum. Partly this angular momentum is taken away by spectator partons, but considerable part is transferred to quark-gluon plasma, created in the collision. The experimental results for \(\Lambda \) , \(\bar{\Lambda }\)  baryons polarization confirm this expectation and give the following average value for the angular velocity \(\Omega \sim 6\)  MeV [8]}. Hydrodynamic simulations of heavy-ion collisions predict even larger magnitudes of the angular velocity \(\Omega \sim (20-40)\,\mbox{MeV}\)  [5]}. These values of angular velocity lead to relativistic rotation of quark-gluon plasma.
